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102480 = 2435761
BaseRepresentation
bin11001000001010000
312012120120
4121001100
511234410
62110240
7604530
oct310120
9165516
10102480
116aaa4
124b380
1337851
14294c0
1520570
hex19050

102480 has 80 divisors (see below), whose sum is σ = 369024. Its totient is φ = 23040.

The previous prime is 102461. The next prime is 102481. The reversal of 102480 is 84201.

102480 = 52 + 62 + ... + 672.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102481) by changing a digit.

102480 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1650 + ... + 1710.

2102480 is an apocalyptic number.

102480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184512).

102480 is an abundant number, since it is smaller than the sum of its proper divisors (266544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102480 is a wasteful number, since it uses less digits than its factorization.

102480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 102480 is about 320.1249755955. The cubic root of 102480 is about 46.7964640473.

Adding to 102480 its reverse (84201), we get a palindrome (186681).

The spelling of 102480 in words is "one hundred two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 61 70 80 84 105 112 120 122 140 168 183 210 240 244 280 305 336 366 420 427 488 560 610 732 840 854 915 976 1220 1281 1464 1680 1708 1830 2135 2440 2562 2928 3416 3660 4270 4880 5124 6405 6832 7320 8540 10248 12810 14640 17080 20496 25620 34160 51240 102480